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Finding the Fourth Proportional to 131,615.92, 181,615.80 and 77,903.20

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Solution

The fourth proportional to 131,615.92, 181,615.80 and 77,903.20 is: 107,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,615.92 : 181,615.80 = 77,903.20 : x
  2. Step 2: Convert to fraction form
    131,615.92/181,615.80 = 77,903.20/x
  3. Step 3: Cross multiply
    131,615.92x = 181,615.80 × 77,903.20
  4. Step 4: Simplify right side
    131,615.92x = 14,148,451,990.56
  5. Step 5: Solve for x
    x = 14,148,451,990.56/131,615.92
  6. Step 6: Final answer
    x = 107,498.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.